How many meters are in 12 kilometers?

A rectangle as an area of 240 square ft the base is 15 what is the height of the rectangle

zhannawk [14.2K]

Answer:

16 ft

Step-by-step explanation:

Hi there,

The formula for the area of a rectangle is A = b*h.

So, let's start out by plugging in what we know.

240 = 15h

Now, solve for h by dividing both sides by 15

h = 16

So, the height of the rectangle is 16 ft

Hope this helps! Stay safe!

- Emily

5 0

3 years ago

Apply Gaussian quadrature with n = 4 to approximate integrate sin x^2dx from 1 to 5

maks197457 [2]

First, recall that Gaussian quadrature is based around integrating a function over the interval [-1,1], so transform the function argument accordingly to change the integral over [1,5] to an equivalent one over [-1,1].

$x=2t+3\iff t=\dfrac x2-\dfrac32\implies2\mathrm dt=\mathrm dx$
$x=1\implies t=\dfrac{2-6}4=-1$
$x=5\implies t=\dfrac{10-6}4=1$

So,

$\displaystyle\int_{x=1}^{x=5}\sin x^2\,\mathrm dx=\displaystyle2\int_{t=-1}^{t=1}\sin(2t+3)^2\,\mathrm dt$

Let $f(t)=2\sin(2t+3)^2$ . With $n=4$ , we're looking for coefficients $c_i$ and nodes $x_i$ , with $1\le i\le4$ , such that

$\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx c_1f(x_1)+\cdots+c_4f(x_4)$

You can either try solving for each with the help of a calculator, or look up the values of the weights and nodes (they're extensively tabulated, and I'll include a link to one such reference).

Using the quadrature, we then have

$\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx0.3749f(-0.8611)+0.6521f(-0.3400)+0.6521f(0.3400)+0.3749f-0.8611)$
$\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx0.5790$

4 0

3 years ago

The ball bearing have volumes of 1.6cm cube and 5.4cm cube . Find the ratio of their surface area.

Korvikt [17]

Answer:

4/9

Step-by-step explanation:

The scale factor for the linear dimensions of the ball bearings will be the cube root of the volume scale factor:

k = ∛(1.6/5.4) = 2/3

Then the scale factor for the areas will be the square of this scale factor:

ratio of surface area = (2/3)² = 4/9

_____

The area is the product of two linear dimensions, so its scale factor is the product of the linear dimension scale factors. That is, the scale factor for area is the square of the linear dimension scale factor.

Similarly, volume is the product of three linear dimensions, so its scale factor is the cube of the linear dimension scale factor.

8 0

3 years ago

Carly wants to buy some fish to keep in her room. At a local pet store customers can pay

77julia77 [94]

Answer:

12.50

Step-by-step explanation:

Im not completely sure on this but the answer is 12.50 because it states that the price for a fish tank is $12.50. So im pretty sure that the intercept is that.

7 0

3 years ago

Solve 6x + 2y = 12 for y

ycow [4]

Answer:

there are many answers. The simplest one is x=1 y=3

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers